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• W3212012891 abstract "In two spacetime dimensions the Virasoro heavy-heavy-light-light (HHLL) vacuum block in a certain limit is governed by the Catalan numbers. The equation for their generating function can be generalized to a differential equation which the logarithm of the block satisfies. We show that a similar story holds for the HHLL ${cal W}_N$ vacuum blocks, where a suitable generalization of the Catalan numbers plays the main role. Moreover, the ${cal W}_N$ blocks have the same form as the stress tensor sector of HHLL near lightcone conformal correlators in $2(N-1)$ spacetime dimensions. In the latter case the Catalan numbers are generalized to the numbers of linear extensions of certain partially ordered sets." @default.
• W3212012891 created "2021-11-22" @default.
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• W3212012891 creator A5089781219 @default.
• W3212012891 date "2021-11-15" @default.
• W3212012891 modified "2023-09-27" @default.
• W3212012891 title "CFT correlators, ${cal W}$-algebras and Generalized Catalan Numbers" @default.
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• W3212012891 hasPublicationYear "2021" @default.
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